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You are tasked with designing a cuboid shaped cart to ride the rollercoaster, it will be the form of an open box. You have

 

You are tasked with designing a cuboid shaped cart to ride the rollercoaster, it will be the form of an open box. You have a rectangular metal material with the dimensions below. You are tasked with maximizing the volume of the open cart. Insert workings below: Write down the Length of the cart in terms of x. L= Write down the Width of the cart in terms of x. W= Form an equation for the Volume in terms of x V= Using your GDC, enter the cubic and find the value of x that will give a maximum volume. What are the cart dimensions? What is this maximum volume? (Insert GDC workings) Reflect on the dimensions in the context of this question. 5m 2.5m

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